General Minimum Lower-order Confounding Split-plot Designs with Important Subplot Factors  

作　　者：Tao SUN Sheng-li ZHAO 

机构地区：[1]School of Statistics and Data Science,Qufu Normal University,Qufu 273165,China

出　　处：《Acta Mathematicae Applicatae Sinica》2025年第2期441-455,共15页应用数学学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(No.12171277,12271294).

摘　　要：In this paper,we consider the regular s-level fractional factorial split-plot(FFSP)designs when the subplot(SP)factors are more important.The idea of general minimum lower-order confounding criterion is applied to such designs,and the general minimum lower-order confounding criterion of type SP(SP-GMC)is proposed.Using a finite projective geometric formulation,we derive explicit formulae connecting the key terms for the criterion with the complementary set.These results are applied to choose optimal FFSP designs under the SP-GMC criterion.Some two-and three-level SP-GMC FFSP designs are constructed.

关 键 词：split-plot design general minimum lower-order confounding complementary set 

分 类 号：O212[理学—概率论与数理统计]